Cover Image

Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bellettini, Giovanni, Elshorbagy, Alaa, Scala, Riccardo
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 49Q15, 49Q20, 49J45, 58E12
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The $L^1$-relaxed area of the graph of the vortex map: optimal upper bound
by: Bellettini, Giovanni, et al.
Published: (2024)

$Γ$-convergence of the $p$-Dirichlet energy for manifold-valued maps
by: Canevari, Giacomo, et al.
Published: (2025)

Energy-minimizing torus-valued maps with prescribed singularities, Plateau's problem, and BV-lifting
by: Canevari, Giacomo, et al.
Published: (2023)

Concentration effects and $Γ$-limit for the elastica functional for open and closed curves
by: Bellettini, Giovanni, et al.
Published: (2026)

Coercivity and Gamma-convergence of the $p$-energy of sphere-valued Sobolev maps
by: Caselli, Michele, et al.
Published: (2025)

On the relaxation of polyconvex functionals with linear growth under strict convergence in $BV$
by: Scala, Riccardo
Published: (2025)

Critical points of the one dimensional Ambrosio-Tortorelli functional with an obstacle condition
by: Rakovsky, Martin
Published: (2024)

A De Giorgi conjecture on the regularity of minimizers of Cartesian area in 1D
by: Bellettini, Giovanni, et al.
Published: (2025)

A Variational Theory for The Area of Legendrian Surfaces
by: Pigati, Alessandro, et al.
Published: (2024)

Area Variations under Legendrian Constraint
by: Rivière, Tristan
Published: (2023)

Classical solutions to the soap film capillarity problem for plane boundaries
by: Bevilacqua, Giulia, et al.
Published: (2024)

Limiting behavior of minimizing $p$-harmonic maps in 3d as $p$ goes to $2$ with finite fundamental group
by: Bulanyi, Bohdan, et al.
Published: (2024)

Euler's elastica functional as a large mass limit of a two-dimensional non-local isoperimetric problem
by: Muratov, Cyrill B., et al.
Published: (2025)

Ahlfors-regularity for minimizers of a multiphase optimal design problem
by: Esposito, Luca, et al.
Published: (2025)

A novel way of computing the shape derivative for a class of non-smooth PDEs and its impact on deriving necessary conditions for locally optimal shapes
by: Betz, Livia
Published: (2025)

Stable free boundary minimal hypersurfaces in locally wedge-shaped manifolds
by: Yan, Zetian
Published: (2024)

Minimally singular functions and the rigidity problem for Steiner's perimeter inequality
by: Perugini, Matteo
Published: (2024)

Coulomb Gauges and Regularity for Stationary Weak Yang$-$Mills Connections in Supercritical Dimension
by: Caniato, Riccardo, et al.
Published: (2024)

Weighted nonlocal area functionals without the triangle inequality
by: Dipierro, Serena, et al.
Published: (2025)

Lipschitz approximation for general almost area minimizing currents
by: Resende, Reinaldo
Published: (2023)

Nonunique tangent maps at isolated singularities of minimizing $p$-harmonic maps
by: Hirsch, Jonas
Published: (2025)

On De Giorgi's Conjecture of Nonlocal approximations for free-discontinuity problems: The symmetric gradient case
by: Almi, Stefano, et al.
Published: (2024)

Isoperimetric minimizing movements and AC curves in $\text{PL}_q^p(\mathbb{R}^n)$
by: Aldrigo, Pietro
Published: (2026)

Integral representation for a relaxed optimal design problem for non-simple grade two materials
by: Barroso, Ana Cristina, et al.
Published: (2024)

Density of the boundary regular set of 2d area minimizing currents with arbitrary codimension and multiplicity
by: Nardulli, Stefano, et al.
Published: (2022)

Stochastic homogenisation of nonlinear minimum-cost flow problems
by: Gladbach, Peter, et al.
Published: (2024)

On the equivalence of static and dynamic weak optimal transport
by: Bulanyi, Bohdan
Published: (2023)

Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem
by: De Lellis, Camillo, et al.
Published: (2021)

Instability of the ray-monotone selector for $W_1$-optimal transport
by: Gwozdz, Maja
Published: (2026)

Hamilton--Jacobi equations for controlled gradient flows: the comparison principle
by: Conforti, Giovanni, et al.
Published: (2021)

Interior regularity of area minimizing currents within a $C^{2,α}$-submanifold
by: Nardulli, Stefano, et al.
Published: (2024)

Shape Sensitivity Analysis for a Microchannel Cooling System
by: Blauth, Sebastian, et al.
Published: (2020)

A general Frobenius' Theorem via the Transport of Currents
by: Bonicatto, Paolo
Published: (2025)

A simple proof of the $1$-dimensional flat chain conjecture
by: Marchese, Andrea, et al.
Published: (2024)

Well-posedness of the transport of normal currents by time-dependent vector fields
by: Bonicatto, Paolo, et al.
Published: (2025)

Equivalence of Uniform Polyconvexity and Almgren Uniform Ellipticity for Lipschitz $Q$-Graph Test Pairs
by: Lesniak, Maciej
Published: (2026)

Mass concentration in rescaled first order integral functionals
by: Monteil, Antonin, et al.
Published: (2022)

On the regularity of area minimizing currents at boundaries with arbitrary multiplicity
by: Fleschler, Ian, et al.
Published: (2024)

New estimates for a class of non-local approximations of the total variation
by: Picenni, Nicola
Published: (2023)

Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models
by: Cosenza, Alessandro, et al.
Published: (2026)